Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610q |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-4631491200 = -1 · 27 · 3 · 52 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 4 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1950,-33468] |
[a1,a2,a3,a4,a6] |
j |
-820052139160801/4631491200 |
j-invariant |
L |
5.0273733275391 |
L(r)(E,1)/r! |
Ω |
0.35909809482422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880bt1 25830j1 43050e1 60270s1 |
Quadratic twists by: -4 -3 5 -7 |